Green–Tao theorem (English Wikipedia)

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Green, Ben; Tao, Terence (2008). "The primes contain arbitrarily long arithmetic progressions". Annals of Mathematics. 167 (2): 481–547. arXiv:math.NT/0404188. doi:10.4007/annals.2008.167.481. MR 2415379. S2CID 1883951..
Green, Ben; Tao, Terence (2010). "Linear equations in primes". Annals of Mathematics. 171 (3): 1753–1850. arXiv:math/0606088. doi:10.4007/annals.2010.171.1753. MR 2680398. S2CID 119596965.
Green, Ben; Tao, Terence (2012). "The Möbius function is strongly orthogonal to nilsequences". Annals of Mathematics. 175 (2): 541–566. arXiv:0807.1736. doi:10.4007/annals.2012.175.2.3. MR 2877066.
Green, Ben; Tao, Terence; Ziegler, Tamar (2012). "An inverse theorem for the Gowers $U^{s+1}[N]$ -norm". Annals of Mathematics. 172 (2): 1231–1372. arXiv:1009.3998. doi:10.4007/annals.2012.176.2.11. MR 2950773.
Goldston, Daniel A.; Pintz, János; Yıldırım, Cem Y. (2009). "Primes in tuples. I". Annals of Mathematics. 170 (2): 819–862. arXiv:math/0508185. doi:10.4007/annals.2009.170.819. MR 2552109. S2CID 1994756.
Tao, Terence; Ziegler, Tamar (2015). "A multi-dimensional Szemerédi theorem for the primes via a correspondence principle". Israel Journal of Mathematics. 207 (1): 203–228. arXiv:1306.2886. doi:10.1007/s11856-015-1157-9. MR 3358045. S2CID 119685169.
Cook, Brian; Magyar, Ákos (2012). "Constellations in $\mathbb {P} ^{d}$ ". International Mathematics Research Notices. 2012 (12): 2794–2816. doi:10.1093/imrn/rnr127. MR 2942710.
Fox, Jacob; Zhao, Yufei (2015). "A short proof of the multidimensional Szemerédi theorem in the primes". American Journal of Mathematics. 137 (4): 1139–1145. arXiv:1307.4679. doi:10.1353/ajm.2015.0028. MR 3372317. S2CID 17336496.
Tao, Terence; Ziegler, Tamar (2008). "The primes contain arbitrarily long polynomial progressions". Acta Mathematica. 201 (2): 213–305. arXiv:math/0610050. doi:10.1007/s11511-008-0032-5. MR 2461509. S2CID 119138411.
Tao, Terence; Ziegler, Tamar (2013). "Erratum to "The primes contain arbitrarily long polynomial progressions"". Acta Mathematica. 210 (2): 403–404. doi:10.1007/s11511-013-0097-7. MR 3070570.
Tao, Terence (2006). "The Gaussian primes contain arbitrarily shaped constellations". Journal d'Analyse Mathématique. 99 (1): 109–176. arXiv:math/0501314. doi:10.1007/BF02789444. MR 2279549. S2CID 119664036.

arxiv.org

Green, Ben; Tao, Terence (2008). "The primes contain arbitrarily long arithmetic progressions". Annals of Mathematics. 167 (2): 481–547. arXiv:math.NT/0404188. doi:10.4007/annals.2008.167.481. MR 2415379. S2CID 1883951..
Green, Ben; Tao, Terence (2010). "Linear equations in primes". Annals of Mathematics. 171 (3): 1753–1850. arXiv:math/0606088. doi:10.4007/annals.2010.171.1753. MR 2680398. S2CID 119596965.
Green, Ben; Tao, Terence (2012). "The Möbius function is strongly orthogonal to nilsequences". Annals of Mathematics. 175 (2): 541–566. arXiv:0807.1736. doi:10.4007/annals.2012.175.2.3. MR 2877066.
Green, Ben; Tao, Terence; Ziegler, Tamar (2012). "An inverse theorem for the Gowers $U^{s+1}[N]$ -norm". Annals of Mathematics. 172 (2): 1231–1372. arXiv:1009.3998. doi:10.4007/annals.2012.176.2.11. MR 2950773.
Goldston, Daniel A.; Pintz, János; Yıldırım, Cem Y. (2009). "Primes in tuples. I". Annals of Mathematics. 170 (2): 819–862. arXiv:math/0508185. doi:10.4007/annals.2009.170.819. MR 2552109. S2CID 1994756.
Tao, Terence; Ziegler, Tamar (2015). "A multi-dimensional Szemerédi theorem for the primes via a correspondence principle". Israel Journal of Mathematics. 207 (1): 203–228. arXiv:1306.2886. doi:10.1007/s11856-015-1157-9. MR 3358045. S2CID 119685169.
Cook, Brian; Magyar, Ákos; Titichetrakun, Tatchai (2018). "A Multidimensional Szemerédi Theorem in the primes via Combinatorics". Annals of Combinatorics. 22 (4): 711–768. arXiv:1306.3025. doi:10.1007/s00026-018-0402-4. S2CID 126417608.
Fox, Jacob; Zhao, Yufei (2015). "A short proof of the multidimensional Szemerédi theorem in the primes". American Journal of Mathematics. 137 (4): 1139–1145. arXiv:1307.4679. doi:10.1353/ajm.2015.0028. MR 3372317. S2CID 17336496.
Tao, Terence; Ziegler, Tamar (2008). "The primes contain arbitrarily long polynomial progressions". Acta Mathematica. 201 (2): 213–305. arXiv:math/0610050. doi:10.1007/s11511-008-0032-5. MR 2461509. S2CID 119138411.
Tao, Terence (2006). "The Gaussian primes contain arbitrarily shaped constellations". Journal d'Analyse Mathématique. 99 (1): 109–176. arXiv:math/0501314. doi:10.1007/BF02789444. MR 2279549. S2CID 119664036.

doi.org

Green, Ben; Tao, Terence (2008). "The primes contain arbitrarily long arithmetic progressions". Annals of Mathematics. 167 (2): 481–547. arXiv:math.NT/0404188. doi:10.4007/annals.2008.167.481. MR 2415379. S2CID 1883951..
Green, Ben; Tao, Terence (2010). "Linear equations in primes". Annals of Mathematics. 171 (3): 1753–1850. arXiv:math/0606088. doi:10.4007/annals.2010.171.1753. MR 2680398. S2CID 119596965.
Green, Ben; Tao, Terence (2012). "The Möbius function is strongly orthogonal to nilsequences". Annals of Mathematics. 175 (2): 541–566. arXiv:0807.1736. doi:10.4007/annals.2012.175.2.3. MR 2877066.
Green, Ben; Tao, Terence; Ziegler, Tamar (2012). "An inverse theorem for the Gowers $U^{s+1}[N]$ -norm". Annals of Mathematics. 172 (2): 1231–1372. arXiv:1009.3998. doi:10.4007/annals.2012.176.2.11. MR 2950773.
Goldston, Daniel A.; Pintz, János; Yıldırım, Cem Y. (2009). "Primes in tuples. I". Annals of Mathematics. 170 (2): 819–862. arXiv:math/0508185. doi:10.4007/annals.2009.170.819. MR 2552109. S2CID 1994756.
Tao, Terence; Ziegler, Tamar (2015). "A multi-dimensional Szemerédi theorem for the primes via a correspondence principle". Israel Journal of Mathematics. 207 (1): 203–228. arXiv:1306.2886. doi:10.1007/s11856-015-1157-9. MR 3358045. S2CID 119685169.
Cook, Brian; Magyar, Ákos (2012). "Constellations in $\mathbb {P} ^{d}$ ". International Mathematics Research Notices. 2012 (12): 2794–2816. doi:10.1093/imrn/rnr127. MR 2942710.
Cook, Brian; Magyar, Ákos; Titichetrakun, Tatchai (2018). "A Multidimensional Szemerédi Theorem in the primes via Combinatorics". Annals of Combinatorics. 22 (4): 711–768. arXiv:1306.3025. doi:10.1007/s00026-018-0402-4. S2CID 126417608.
Fox, Jacob; Zhao, Yufei (2015). "A short proof of the multidimensional Szemerédi theorem in the primes". American Journal of Mathematics. 137 (4): 1139–1145. arXiv:1307.4679. doi:10.1353/ajm.2015.0028. MR 3372317. S2CID 17336496.
Tao, Terence; Ziegler, Tamar (2008). "The primes contain arbitrarily long polynomial progressions". Acta Mathematica. 201 (2): 213–305. arXiv:math/0610050. doi:10.1007/s11511-008-0032-5. MR 2461509. S2CID 119138411.
Tao, Terence; Ziegler, Tamar (2013). "Erratum to "The primes contain arbitrarily long polynomial progressions"". Acta Mathematica. 210 (2): 403–404. doi:10.1007/s11511-013-0097-7. MR 3070570.
Tao, Terence (2006). "The Gaussian primes contain arbitrarily shaped constellations". Journal d'Analyse Mathématique. 99 (1): 109–176. arXiv:math/0501314. doi:10.1007/BF02789444. MR 2279549. S2CID 119664036.

primerecords.dk

Andersen, Jens Kruse. "Primes in Arithmetic Progression Records". Retrieved 2015-06-27.

semanticscholar.org

api.semanticscholar.org

Green, Ben; Tao, Terence (2008). "The primes contain arbitrarily long arithmetic progressions". Annals of Mathematics. 167 (2): 481–547. arXiv:math.NT/0404188. doi:10.4007/annals.2008.167.481. MR 2415379. S2CID 1883951..
Green, Ben; Tao, Terence (2010). "Linear equations in primes". Annals of Mathematics. 171 (3): 1753–1850. arXiv:math/0606088. doi:10.4007/annals.2010.171.1753. MR 2680398. S2CID 119596965.
Goldston, Daniel A.; Pintz, János; Yıldırım, Cem Y. (2009). "Primes in tuples. I". Annals of Mathematics. 170 (2): 819–862. arXiv:math/0508185. doi:10.4007/annals.2009.170.819. MR 2552109. S2CID 1994756.
Tao, Terence; Ziegler, Tamar (2015). "A multi-dimensional Szemerédi theorem for the primes via a correspondence principle". Israel Journal of Mathematics. 207 (1): 203–228. arXiv:1306.2886. doi:10.1007/s11856-015-1157-9. MR 3358045. S2CID 119685169.
Cook, Brian; Magyar, Ákos; Titichetrakun, Tatchai (2018). "A Multidimensional Szemerédi Theorem in the primes via Combinatorics". Annals of Combinatorics. 22 (4): 711–768. arXiv:1306.3025. doi:10.1007/s00026-018-0402-4. S2CID 126417608.
Fox, Jacob; Zhao, Yufei (2015). "A short proof of the multidimensional Szemerédi theorem in the primes". American Journal of Mathematics. 137 (4): 1139–1145. arXiv:1307.4679. doi:10.1353/ajm.2015.0028. MR 3372317. S2CID 17336496.
Tao, Terence; Ziegler, Tamar (2008). "The primes contain arbitrarily long polynomial progressions". Acta Mathematica. 201 (2): 213–305. arXiv:math/0610050. doi:10.1007/s11511-008-0032-5. MR 2461509. S2CID 119138411.
Tao, Terence (2006). "The Gaussian primes contain arbitrarily shaped constellations". Journal d'Analyse Mathématique. 99 (1): 109–176. arXiv:math/0501314. doi:10.1007/BF02789444. MR 2279549. S2CID 119664036.